CUET Level - I JEE Mock Test - 1(Maths)

The set of intelligent students in a class is 

            

•   a null set  

• a singleton set

•  a finite set

•  not a well defined collection

The roster form of set A={x:x is a two digit number such that the sum of its digit is 9} is

              

•  {18,27,36,45,54,63,72,81,90}

•   {27,45,54}   

• {144,252} 

• None of these

If A= {x∈R:|x|<2} and B= {x∈R:|x-2|>3}; then

• A-B=[-1,2)

• B-A=R-(-2,5)

• A⋃B=R-(2,5)

• A⋂B=(-2,-1)

Set A has m elements and set B has m elements.If the total number of subsets of A is 112 more than the total number of subsets of B,then the value of m.n is

• 10

• 20

• 28

• 29

If A={a,b,c},then the range of the relation R={(a,b),(a,c),(b,c)} defined on A is

• {a,b}

• {a,b,c}

• {c}

• {b,c}

Let A and B two sets containing 2 elements and 4 elements respectively. The number of subsets of AxB having 3 or more elements is

• 211

• 256

• 220

• 219

Let X={1,2,3,4,5}. The number of different ordered pairs (Y,Z) that can be formed such that Y⊆X, Z⊆X and Y∩Z is empty is

• 2⁵

• 5³

• 5²

• 3⁵

Let R be the set of real numbers

Statement-1: A={(x,y)∈ RxR: y-x is an integer} is an equivalence relation on R.

Statement-2: B={(x,y)∈ RxR: x=αy for some rational number α} is an equivalence relation on R.

• Statement-1 is true,Statement_2 is false

• Statement-1 is false,Statement_2 is true

• Statement-1 is true,Statement_2 is true;statement-2 is correct explanation for statement-1

• Statement-1 is true,Statement_2 is true;statement-2 is not correct explanation for statement-1

The relation R defined on the set A={1,2,3,4,5} by

R={(x,y):|x²+y²|<16} is given by

• {(1,1),(2,1),(3,1),(4,1),(2,3)}

• {(2,2),(3,2),(4,2),(2,4)}

• {(3,3),(4,3),(5,4),(3,4)}

• None of these

• [ -4,4]

• [0,4]

• [0,1]